Question

file measured the height of a plant, in inches, every week for four weeks after planting it. the table shows her data.

week	height (inches)
1	4.4
2	6.2
3	7.3
4	9.1

the height of the plant, ( h ), in inches, can be modeled by the function ( h(t) = 1.5t + 3 ), where ( t ) represents the time in weeks. based on this model, what is the best prediction for the height of the plant after 12 weeks?

a. 16.5 inches
b. 21 inches
c. 22.5 inches
d. 27.3 inches

Explanation:

Step1: Identify the value of t

We need to find the height after 12 weeks, so \( t = 12 \).

Step2: Substitute t into the function

The function is \( h(t)=1.5t + 3 \). Substitute \( t = 12 \) into it:
\( h(12)=1.5\times12 + 3 \)
First, calculate \( 1.5\times12 = 18 \).
Then, add 3: \( 18 + 3 = 21 \).

Answer:

B. 21 inches